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Regional Olympiad - FBH 2017 Grade 10 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2017

September 19, 2018
number theoryprime numbers

Problem Statement

Find prime numbers pp, qq, rr and ss, pairwise distinct, such that their sum is prime number and numbers p2+qrp^2+qr and p2+qsp^2+qs are perfect squares
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